Summary of curve sketching calculus
[PDF File]MATH 1271 Calculus I - University of Minnesota
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4.5-Summary of Curve Sketching Review Given a function f x, how might one go about trying to sketch it? That’s what we explore below. A. Domain: It’s often useful to start by determining the domain D of f, that is, the set of values of x for which f x is defined. B. Intercepts: i) The y-intercept is f 0 and this tells us where the curve ...
[PDF File]3.5 Summary of Curve Sketching - Brian Veitch
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3.5 Summary of Curve Sketching Brian E. Veitch 1 p x 1 = 0 1 p x = 1 1 = p x 1 = x The other critical value is at x = 1. 6.Use the number line to determine where y is increasing or decreasing. Note, we did not have to pick a number in the region less than 0 since that region is not in the domain. Increasing: (0;1) Decreasing: (1;1) Local ...
[PDF File]4.5 Summary of Curve Sketching - University of California, Irvine
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4.5 Summary of Curve Sketching When graphing a function f you want to make clear all of the following, if they make sense for the function. Domain Interval? Excluded points? If dom(f) =R, make sure it’s clear what happens for very large values of x. Intercepts Find the x- and y-intercepts, if appropriate.
[PDF File]Calculus Lesson 3.6: A Summary of Curve Sketching Mrs. Snow ...
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Calculus Lesson 3.6: A Summary of Curve Sketching Mrs. Snow, Instructor. In precalclulus we analyzed and sketched graphs of functions. While we determined x and y- intercepts, asymptotes, and the function’s behavior as it approached the asymptotes, there is more that we can calculate using the derivatives of the function.
[PDF File]Calculus Lesson 3.6: A Summary of Curve Sketching Mrs. Snow ...
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Calculus Lesson 3.6: A Summary of Curve Sketching Mrs. Snow, Instructor. In precalclulus we analyzed and sketched graphs of functions. While we determined x and y- intercepts, asymptotes, and the function’s behavior as it approached the asymptotes, there is more that we can calculate using the derivatives of the function.
[PDF File]4.5 Summary of Curve Sketching - Colgate
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1/17/2010 Domain Intercepts: curve intersects : the set of values of The the o nd posible). the Symmetry: -intercepts, even functions: if the od curve is functions: symmetric if about the y-axis. and periodic xed the curve is function: if number) then symmetric about the o rigin.
[PDF File]Section 3.6 A Summary of Curve Sketching - Ed Kornberg
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209 Summary of Curve Sketching Analyze and sketch the graph of a function. Analyzing the Graph of a Function It would be difficult to overstate the importance of using graphs in mathematics. Descartes’s introduction of analytic geometry contributed significantly to the rapid advances in calculus that began during the mid-seventeenth century.
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